Results 221 to 230 of about 409,387 (264)

Homogenisation of vectorial free-discontinuity functionals with cohesive type surface terms

The results on $\Gamma$-limits of sequences of free-discontinuity functionals with bounded cohesive surface terms are extended to the case of vector-valued functions.
G. Maso, Davide Donati
semanticscholar   +1 more source

Functions of Bounded Variation and Free Discontinuity Problems

2020
Functions of bounded variation were introduced by C. Jordan in connexion with Dirichlet's test for the convergence of Fourier series. However, the modern definition of functions of bounded variation ($BV$ functions in the sequel) is due to the works of E.
openaire   +1 more source

FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs)

, 2001
Ronald F. Gariepy
semanticscholar   +1 more source

Second Order Variational Problems with Free Discontinuity and Free Gradient Discontinuity

2004
In this contribution we unify general properties of functionals depending on first and second derivatives together with free discontinuities and free gradient discontinuities. The analysis includes many relevant applications to image segmentation and continuum mechanics.
CARRIERO, Michele, LEACI, Antonio, F. TOMARELLI   +2 more
openaire   +2 more sources

Partial regularity in free discontinuity problems

1996
Editors: M.
AMBROSIO L, PALLARA, Diego
openaire   +1 more source

A Dirichlet problem with free gradient discontinuity

2010
We prove the existence of a strong solution for Blake & Zisserman functional under Dirichlet boundary condition. The result is obtained by showing partial regularity of weak solutions up to the boundary through blow-up technique and a decay property for bi-harmonic functions in half-disk.
CARRIERO, Michele, LEACI, Antonio, F. Tomarelli   +2 more
openaire   +2 more sources

The Space SBV(Ω) and Free Discontinuity Problems

1993
This paper deals with variational problems which have among the unknowns an hypersurface. In order to deal with these problems, it has been introduced in [15] the space SBV(Ω) of “special” functions with bounded variation. By summarizing the results of [2] and [4], we recall here the definition and the main compactness properties of SBV(Ω). In addition,
openaire   +1 more source

Free discontinuity problems and their non-local approximation

2000
Following a notation introduced by De Giorgi, we denote by “free discontinuity problems” all the problems in the calculus of variations where the unknown is a pair (uK)withKvarying in a class of closed subsets of a fixed open set Ω ⊂ Rnand u: Ω\K→Rm is a function in some function space (e.g., u ∈ C1,p (Ω\K))or u ∈W 1,p n(Ω\K)).
openaire   +1 more source

Local interpolation techniques for higher-order singular perturbations of non-convex functionals: free-discontinuity problems

Journal des Mathématiques Pures et Appliquées
M. Solci
semanticscholar   +1 more source

Multidisciplinary standards of care and recent progress in pancreatic ductal adenocarcinoma

Ca-A Cancer Journal for Clinicians, 2020
Aaron J Grossberg, William L Hwang, Anirban Maitra   +2 more
exaly